Base | Representation |
---|---|
bin | 10101110110100001… |
… | …000000000000000000 |
3 | 2020120012010222210000 |
4 | 111312201000000000 |
5 | 341023034324340 |
6 | 14440121440000 |
7 | 1460303620113 |
oct | 256641000000 |
9 | 66505128700 |
10 | 23463198720 |
11 | 9a50400525 |
12 | 4669940000 |
13 | 229c02a650 |
14 | 11c822457a |
15 | 924d08d30 |
hex | 576840000 |
23463198720 has 760 divisors, whose sum is σ = 95919355224. Its totient is φ = 5435817984.
The previous prime is 23463198719. The next prime is 23463198757. The reversal of 23463198720 is 2789136432.
23463198720 is a `hidden beast` number, since 2 + 3 + 4 + 631 + 9 + 8 + 7 + 2 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1719926784 + 21743271936 = 41472^2 + 147456^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380188152 + ... + 1380188168.
Almost surely, 223463198720 is an apocalyptic number.
23463198720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23463198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47959677612).
23463198720 is an abundant number, since it is smaller than the sum of its proper divisors (72456156504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23463198720 is an frugal number, since it uses more digits than its factorization.
23463198720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 40 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 23463198720 in words is "twenty-three billion, four hundred sixty-three million, one hundred ninety-eight thousand, seven hundred twenty".
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